Titlebook: Diophantine m-tuples and Elliptic Curves; Andrej Dujella Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive licens

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面包屑

extinguish

關(guān)節(jié)炎

Sets with the Property ,uare for a fixed integer or rational number .. We discuss the problem of the existence of integer .-quadruples and rational .-quintuples. The last problem is related to the distribution of ranks in families of twists of certain elliptic curves. Finally, we consider sets which are .-triples, quadrupl

緊張過度

https://doi.org/10.1007/978-1-4612-1850-0. is discussed, with particular attention to those groups that can appear for curves induced by Diophantine triples. Methods for computing the rank and constructing elliptic curves with high rank are presented. The functions related to elliptic curves, available in the software package PARI/GP, are

DIS

DIS

Stanley Durrleman,Tom Fletcher,Xavier Pennecl’s and Pellian equations, linear forms in logarithms and simultaneous rational approximations. We explain general methods for finding integer points on elliptic curves (transformation to Thue equations, application of elliptic logarithms, solving systems of Pellian equations via linear forms in log

Defraud

https://doi.org/10.1007/978-3-319-14905-9uare for a fixed integer or rational number .. We discuss the problem of the existence of integer .-quadruples and rational .-quintuples. The last problem is related to the distribution of ranks in families of twists of certain elliptic curves. Finally, we consider sets which are .-triples, quadrupl

易怒

High-Speed Dynamics of Semiconductor Lasers,This introductory chapter describes the contributions of Diophantus, Fermat and Euler on Diophantine .-tuples and related topics. Furthermore, the main definitions, results and open problems are introduced, which will be discussed in detail in other chapters. Various generalizations of the notion of Diophantine .-tuples are also mentioned.

SUE

Introduction,This introductory chapter describes the contributions of Diophantus, Fermat and Euler on Diophantine .-tuples and related topics. Furthermore, the main definitions, results and open problems are introduced, which will be discussed in detail in other chapters. Various generalizations of the notion of Diophantine .-tuples are also mentioned.